CODE USING C++ OR MATLAB WITHOUT THE NEED FOR LIBRARIES OR ADDITION SCRIPTS. PROVIDE FULL DETAILED CODE.

ENSURE THAT THE PROVIDE CODE COMPILES AND THAT IT PROMPTS THE USER TO INPUT RELAXATION FACTOR AND TOLERANCE VALUES

Given function: y''-pi*y*y'=(pi^2)*(sin(pi*x)-1)*cos(pi*x), y(0)=1 y(1)=-1 exact solution is: y=cos(pi*x) The program should first convert the function above into a system of equations using the central difference formulas for both the first and the second derivatives. Next the program should use the Generalized Newtons Method to solve this system with n=50 . Then the program should ask the user to input the relaxation factor, w and the tolerance e. the program should determine the number of iterations and the value of the optimal relaxation factor when e STATEMENT: Consider the BVP given by yyy=2(sin(x)1)cos(x),y(0)=1,y(1)=1. The exact solution is y=cos(x) - Use the central difference formulas for both the first and the second derivatives and set up a system of equations. - Write up a program that uses Generalized Newton's Method to solve this system with n=50. - Your program should ask the user to input the relaxation factor, " " and the tolerance " ". - In particular, investigate the number of iterations and the value of the optimal relaxation factor when 104. SUBMISSION: You are asked to submit your code, and an output file (both in pdf format) showing: - Number of iterations, - Value of the optimal relaxation factor, - Values of x24,x35,x42, when 104. Submissions will be made via email attachments